Bose-Einstein Condensation Beyond the Gross-Pitaevskii Regime

Arka Adhikari, Christian Brennecke, Benjamin Schlein

We consider N bosons in a box with volume one, interacting through a two-body potential with scattering length of the order $N^{-1+\kappa }$, for $\kappa >0$. Assuming that $\kappa \in (0;1/43)$, we…